High Middle Ages
Devils torture the damned in Hell
(Abbey of Moissac, about 1050 AD)
In 1071 AD, the Byzantine Empire lost most of Anatolia (modern Turkey) to the Seljuk Turks at the Battle of Manzikert. About the same time, the Abbasids lost control of pieces of the Islamic Empire as well - to the Seljuks in the East, and to local rulers in North Africa and Spain. The breakup of these two ancient and strong empires forced European rulers to become more independent, and at the same time allowed Europe to become stronger.
In the 1000s and into the 1100s, most of the wealth and power in Europe was in the South, in Spain, southern France, Italy, and Greece. Olive oil and wheat grew better in the south, many more people lived in the south, and from the Mediterranean ports traders could sell European wool and furs and slaves on the Silk Road, and import valuable steel, paper, sugar, cotton, spices, and silk to sell. The great buildings of the Romanesque period are mostly in the south, where people could afford to build them: Cordoba, Toulouse, Pisa, Florence, Venice.
But slowly wealth and power moved to northern Europe, to England, northern France, Germany, Poland, and Hungary. Starting in the 800s, Christians of Spain moved from north to south, pushing out the Islamic rulers. Then in 962 AD, Otto the Great began to rebuild the Holy Roman Empire, centered on Germany. In 1066, William the Conqueror expanded his kingdom to begin building an empire across England and France. Ten years later, the First Crusade succeeded in taking Jerusalem from the Fatimids, and soon the Normans also controlled a lot of Italy, Sicily, and Greece. Kingdoms were also forming further east in Poland, Hungary, and Russia. Meanwhile Italy fell increasingly under the control of the Holy Roman Empire, or was fragmented into independent city-states.
This process only accelerated in the 1100s, as the kings of France got control of Aquitaine and Toulouse and waged the Albigensian Crusade. Possibly climate change shifted agricultural production from southern Europe to northern Europe, making northern Europeans stronger, bigger, and more numerous than southerners. Northern Europe grew rich enough to build the great Gothic cathedrals - which are mostly in the north. But by the early 1200s, the High Middle Ages were already giving way to the Late Middle Ages, as the Silk Road slowly collapsed and Europeans began to produce their own stuff instead of buying imported things.
The Holy Roman Empire and Charlemagne in World History, by Jeff Sypeck (1997). An exciting and accurate account of the formation of one of Europe's great empires.
Beyond the Myth: The Story of Joan of Arc , by Polly Brooks (1999). Accurate and thoughtful, with good illustrations and maps, though more a biography than a history.
Constantinople: The Forgotten Empire, by Isaac Asimov (1967). This book got many future Byzantinists started on their path. It's out of print, but you can get it used.
A Little History of the World, by E. H. Gombrich (2003). Written in 1935, the history is a little out of date, of course, but it is written to convey the facts of all of human history to young people, and I think it does a good job.